19 citations · 80 across the 15 of their papers we have counts for
15 papers
Lee-Huang-Yang Energy for Dilute Bose Gases: an Upper Bound for General Potentials
Giulia Basti, Morris Brooks, Serena Cenatiempo +2
We establish an upper bound for the ground state energy density of a dilute Bose gas, interacting through a general short-range, repulsive potential. To reach this goal, we extend…
The Lee-Huang-Yang energy for a dilute gas of hard spheres: an upper bound
Giulia Basti, Morris Brooks, Serena Cenatiempo +2
We consider a quantum gas consisting of hard spheres with radius , obeying bosonic statistics and moving in the box with periodic boundary conditions…
A Zero-Range Model for the Efimov Effect in the Born-Oppenheimer Approximation
G. Basti, D. Ferretti, A. Teta
In this note we discuss the Efimov effect emerging in a three-particle quantum system with zero-range interactions. In particular, we consider two non-interacting identical bosons…
A new upper bound on the specific free energy of dilute Bose gases
Giulia Basti, Chiara Boccato, Serena Cenatiempo +1
We prove an upper bound for the free energy (per unit volume) of the dilute Bose gas in the thermodynamic limit, showing that the free energy at density and inverse temperature…
Upper bound for the ground state energy of a dilute Bose gas of hard spheres
Giulia Basti, Serena Cenatiempo, Alessandro Giuliani +3
We consider a gas of bosons interacting through a hard-sphere potential with radius in the thermodynamic limit. We derive a simple upper bound for the ground state energ…
Energy expansions for dilute Bose gases from local condensation results: a review of known results
Giulia Basti, Cristina Caraci, Serena Cenatiempo
Non-relativistic interacting bosons at zero temperature, in two and three dimensions, are expected to exhibit a fascinating critical phase, famously known as condensate phase. Even…
Ground state energy of a Bose gas in the Gross-Pitaevskii regime
Giulia Basti, Serena Cenatiempo, Alessandro Olgiati +2
We review some rigorous estimates for the ground state energy of dilute Bose gases. We start with Dyson's upper bound, which provides the correct leading order asymptotics for hard…
A second order upper bound on the ground state energy of a Bose gas beyond the Gross-Pitaevskii regime
Giulia Basti
We consider a system of bosons in a unitary box in the grand-canonical setting interacting through a potential with scattering length scaling as Thi…
A second order upper bound for the ground state energy of a hard-sphere gas in the Gross-Pitaevskii regime
Giulia Basti, Serena Cenatiempo, Alessandro Olgiati +2
We prove an upper bound for the ground state energy of a Bose gas consisting of hard spheres with radius , moving in the three-dimensional unit torus . Our e…
Three-Body Hamiltonian with Regularized Zero-Range Interactions in Dimension Three
Giulia Basti, Claudio Cacciapuoti, Domenico Finco +1
We study the Hamiltonian for a system of three identical bosons in dimension three interacting via zero-range forces. In order to avoid the fall to the center phenomenon emerging i…
A new second order upper bound for the ground state energy of dilute Bose gases
Giulia Basti, Serena Cenatiempo, Benjamin Schlein
We establish an upper bound for the ground state energy per unit volume of a dilute Bose gas in the thermodynamic limit, capturing the correct second order term, as predicted by th…
The three-body problem in dimension one: From short-range to contact interactions
Giulia Basti, Claudio Cacciapuoti, Domenico Finco +1
We consider a Hamiltonian describing three quantum particles in dimension one interacting through two-body short-range potentials. We prove that, as a suitable scale parameter in t…
Universal low-energy behavior in a quantum Lorentz gas with Gross-Pitaevskii potentials
Giulia Basti, Serena Cenatiempo, Alessandro Teta
We consider a quantum particle interacting with obstacles, whose positions are independently chosen according to a given probability density, through a two-body potential of th…
Efimov effect for a three-particle system with two identical fermions
Giulia Basti, Alessandro Teta
We consider a three-particle quantum system in dimension three composed of two identical fermions of mass one and a different particle of mass . The particles interact via two-b…
On the quantum mechanical three-body problem with zero-range interactions
Giulia Basti, Alessandro Teta
In this note we discuss the quantum mechanical three-body problem with pairwise zero-range interactions in dimension three. We review the state of the art concerning the constructi…